But there is another meaning of asylum, a place where certain elements must be kept to protect the body of society as a whole.
that is a bastard derivative of the original meaning.
Nuthouses were dubbed "Insane Asylums" in a fit of prissy pseudo-christian euphemistic idiocy, giving a pretty name and a conscience-soothing mythology (the insane now have places of refuge from the trials of the world) to places for the permanent storage of undesirables.
I vote against "Asylum"
In its valid application, it is weak.
In its eupemistic application, it is a grotesque lie.
But then... I'm cranky this morning, so don't pay too much attention.